Meson-Baryon-Baryon Vertex Function and the Ward-Takahashi Identity
| dc.creator | Wang, Siwen | |
| dc.creator | Banerjee, Manoj K. | |
| dc.date | 1996-07-15 | |
| dc.date.accessioned | 2026-07-07T11:15:49Z | |
| dc.date.available | 2026-07-07T11:15:49Z | |
| dc.description | Ohta proposed a solution for the well-known difficulty of satisfying the Ward-Takahashi identity for a photo-meson-baryon-baryon amplitude ($γ$MBB) when a dressed meson-baryon-baryon (MBB) vertex function is present. He obtained a form for the $γ$MBB amplitude which contained, in addition to the usual pole terms, longitudinal seagull terms which were determined entirely by the MBB vertex function. He arrived at his result by using a Lagrangian which yields the MBB vertex function at tree level. We show that such a Lagrangian can be neither hermitian nor charge conjugation invariant. We have been able to reproduce Ohta's result for the $γ$MBB amplitude using the Ward-Takahashi identity and no other assumption, dynamical or otherwise, and the most general form for the MBB and $γ$MBB vertices. However, contrary to Ohta's finding, we find that the seagull terms are not robust. The seagull terms extracted from the $γ$MBB vertex occur unchanged in tree graphs, such as in an exchange current amplitude. But the seagull terms which appear in a loop graph, as in the calculation of an electromagnetic form factor, are, in general, different. The whole procedure says nothing about the transverse part of the ($γ$MBB) vertex and its contributions to the amplitudes in question. | |
| dc.description | A 20 pages Latex file and 16 Postscript figures in an uuencoded format. Use epsf.sty to include the figures into the Latex file | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9607022 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9607022 | |
| dc.identifier | Phys.Rev.C54:2883-2893,1996 | |
| dc.identifier | doi:10.1103/PhysRevC.54.2883 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192513 | |
| dc.subject | Nuclear Theory | |
| dc.title | Meson-Baryon-Baryon Vertex Function and the Ward-Takahashi Identity | |
| dc.type | text |